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Finding the Third Proportional to 1,427,408 and 3,138,712

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Solution

The third proportional to 1,427,408 and 3,138,712 is: 6,901,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,408 : 3,138,712 = 3,138,712 : x
  2. Step 2: Convert to fraction form
    1,427,408/3,138,712 = 3,138,712/x
  3. Step 3: Cross multiply
    1,427,408x = 3,138,712 × 3,138,712
  4. Step 4: Simplify right side
    1,427,408x = 9,851,513,018,944
  5. Step 5: Solve for x
    x = 9,851,513,018,944/1,427,408
  6. Step 6: Final answer
    x = 6,901,679.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.